6(p+7)-4(2-3p)=70

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Solution for 6(p+7)-4(2-3p)=70 equation:


Simplifying
6(p + 7) + -4(2 + -3p) = 70

Reorder the terms:
6(7 + p) + -4(2 + -3p) = 70
(7 * 6 + p * 6) + -4(2 + -3p) = 70
(42 + 6p) + -4(2 + -3p) = 70
42 + 6p + (2 * -4 + -3p * -4) = 70
42 + 6p + (-8 + 12p) = 70

Reorder the terms:
42 + -8 + 6p + 12p = 70

Combine like terms: 42 + -8 = 34
34 + 6p + 12p = 70

Combine like terms: 6p + 12p = 18p
34 + 18p = 70

Solving
34 + 18p = 70

Solving for variable 'p'.

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

Add '-34' to each side of the equation.
34 + -34 + 18p = 70 + -34

Combine like terms: 34 + -34 = 0
0 + 18p = 70 + -34
18p = 70 + -34

Combine like terms: 70 + -34 = 36
18p = 36

Divide each side by '18'.
p = 2

Simplifying
p = 2

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