4p+10=7(p-4)-4(-2-3p)

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Solution for 4p+10=7(p-4)-4(-2-3p) equation:


Simplifying
4p + 10 = 7(p + -4) + -4(-2 + -3p)

Reorder the terms:
10 + 4p = 7(p + -4) + -4(-2 + -3p)

Reorder the terms:
10 + 4p = 7(-4 + p) + -4(-2 + -3p)
10 + 4p = (-4 * 7 + p * 7) + -4(-2 + -3p)
10 + 4p = (-28 + 7p) + -4(-2 + -3p)
10 + 4p = -28 + 7p + (-2 * -4 + -3p * -4)
10 + 4p = -28 + 7p + (8 + 12p)

Reorder the terms:
10 + 4p = -28 + 8 + 7p + 12p

Combine like terms: -28 + 8 = -20
10 + 4p = -20 + 7p + 12p

Combine like terms: 7p + 12p = 19p
10 + 4p = -20 + 19p

Solving
10 + 4p = -20 + 19p

Solving for variable 'p'.

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

Add '-19p' to each side of the equation.
10 + 4p + -19p = -20 + 19p + -19p

Combine like terms: 4p + -19p = -15p
10 + -15p = -20 + 19p + -19p

Combine like terms: 19p + -19p = 0
10 + -15p = -20 + 0
10 + -15p = -20

Add '-10' to each side of the equation.
10 + -10 + -15p = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -15p = -20 + -10
-15p = -20 + -10

Combine like terms: -20 + -10 = -30
-15p = -30

Divide each side by '-15'.
p = 2

Simplifying
p = 2

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