7-(-19z+1)(-6z-3)=-6-(2z+3)(57z+5)

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Solution for 7-(-19z+1)(-6z-3)=-6-(2z+3)(57z+5) equation: 


Simplifying
7 + -1(-19z + 1)(-6z + -3) = -6 + -1(2z + 3)(57z + 5)

Reorder the terms:
7 + -1(1 + -19z)(-6z + -3) = -6 + -1(2z + 3)(57z + 5)

Reorder the terms:
7 + -1(1 + -19z)(-3 + -6z) = -6 + -1(2z + 3)(57z + 5)

Multiply (1 + -19z) * (-3 + -6z)
7 + -1(1(-3 + -6z) + -19z * (-3 + -6z)) = -6 + -1(2z + 3)(57z + 5)
7 + -1((-3 * 1 + -6z * 1) + -19z * (-3 + -6z)) = -6 + -1(2z + 3)(57z + 5)
7 + -1((-3 + -6z) + -19z * (-3 + -6z)) = -6 + -1(2z + 3)(57z + 5)
7 + -1(-3 + -6z + (-3 * -19z + -6z * -19z)) = -6 + -1(2z + 3)(57z + 5)
7 + -1(-3 + -6z + (57z + 114z2)) = -6 + -1(2z + 3)(57z + 5)

Combine like terms: -6z + 57z = 51z
7 + -1(-3 + 51z + 114z2) = -6 + -1(2z + 3)(57z + 5)
7 + (-3 * -1 + 51z * -1 + 114z2 * -1) = -6 + -1(2z + 3)(57z + 5)
7 + (3 + -51z + -114z2) = -6 + -1(2z + 3)(57z + 5)

Combine like terms: 7 + 3 = 10
10 + -51z + -114z2 = -6 + -1(2z + 3)(57z + 5)

Reorder the terms:
10 + -51z + -114z2 = -6 + -1(3 + 2z)(57z + 5)

Reorder the terms:
10 + -51z + -114z2 = -6 + -1(3 + 2z)(5 + 57z)

Multiply (3 + 2z) * (5 + 57z)
10 + -51z + -114z2 = -6 + -1(3(5 + 57z) + 2z * (5 + 57z))
10 + -51z + -114z2 = -6 + -1((5 * 3 + 57z * 3) + 2z * (5 + 57z))
10 + -51z + -114z2 = -6 + -1((15 + 171z) + 2z * (5 + 57z))
10 + -51z + -114z2 = -6 + -1(15 + 171z + (5 * 2z + 57z * 2z))
10 + -51z + -114z2 = -6 + -1(15 + 171z + (10z + 114z2))

Combine like terms: 171z + 10z = 181z
10 + -51z + -114z2 = -6 + -1(15 + 181z + 114z2)
10 + -51z + -114z2 = -6 + (15 * -1 + 181z * -1 + 114z2 * -1)
10 + -51z + -114z2 = -6 + (-15 + -181z + -114z2)

Combine like terms: -6 + -15 = -21
10 + -51z + -114z2 = -21 + -181z + -114z2

Add '114z2' to each side of the equation.
10 + -51z + -114z2 + 114z2 = -21 + -181z + -114z2 + 114z2

Combine like terms: -114z2 + 114z2 = 0
10 + -51z + 0 = -21 + -181z + -114z2 + 114z2
10 + -51z = -21 + -181z + -114z2 + 114z2

Combine like terms: -114z2 + 114z2 = 0
10 + -51z = -21 + -181z + 0
10 + -51z = -21 + -181z

Solving
10 + -51z = -21 + -181z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '181z' to each side of the equation.
10 + -51z + 181z = -21 + -181z + 181z

Combine like terms: -51z + 181z = 130z
10 + 130z = -21 + -181z + 181z

Combine like terms: -181z + 181z = 0
10 + 130z = -21 + 0
10 + 130z = -21

Add '-10' to each side of the equation.
10 + -10 + 130z = -21 + -10

Combine like terms: 10 + -10 = 0
0 + 130z = -21 + -10
130z = -21 + -10

Combine like terms: -21 + -10 = -31
130z = -31

Divide each side by '130'.
z = -0.2384615385

Simplifying
z = -0.2384615385

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