-29p-6(3-6p)=4(p-3)-3

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Solution for -29p-6(3-6p)=4(p-3)-3 equation:


Simplifying
-29p + -6(3 + -6p) = 4(p + -3) + -3
-29p + (3 * -6 + -6p * -6) = 4(p + -3) + -3
-29p + (-18 + 36p) = 4(p + -3) + -3

Reorder the terms:
-18 + -29p + 36p = 4(p + -3) + -3

Combine like terms: -29p + 36p = 7p
-18 + 7p = 4(p + -3) + -3

Reorder the terms:
-18 + 7p = 4(-3 + p) + -3
-18 + 7p = (-3 * 4 + p * 4) + -3
-18 + 7p = (-12 + 4p) + -3

Reorder the terms:
-18 + 7p = -12 + -3 + 4p

Combine like terms: -12 + -3 = -15
-18 + 7p = -15 + 4p

Solving
-18 + 7p = -15 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-18 + 7p + -4p = -15 + 4p + -4p

Combine like terms: 7p + -4p = 3p
-18 + 3p = -15 + 4p + -4p

Combine like terms: 4p + -4p = 0
-18 + 3p = -15 + 0
-18 + 3p = -15

Add '18' to each side of the equation.
-18 + 18 + 3p = -15 + 18

Combine like terms: -18 + 18 = 0
0 + 3p = -15 + 18
3p = -15 + 18

Combine like terms: -15 + 18 = 3
3p = 3

Divide each side by '3'.
p = 1

Simplifying
p = 1

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