74=-2(1+6p)-4(p-3)

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Solution for 74=-2(1+6p)-4(p-3) equation:


Simplifying
74 = -2(1 + 6p) + -4(p + -3)
74 = (1 * -2 + 6p * -2) + -4(p + -3)
74 = (-2 + -12p) + -4(p + -3)

Reorder the terms:
74 = -2 + -12p + -4(-3 + p)
74 = -2 + -12p + (-3 * -4 + p * -4)
74 = -2 + -12p + (12 + -4p)

Reorder the terms:
74 = -2 + 12 + -12p + -4p

Combine like terms: -2 + 12 = 10
74 = 10 + -12p + -4p

Combine like terms: -12p + -4p = -16p
74 = 10 + -16p

Solving
74 = 10 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
74 + 16p = 10 + -16p + 16p

Combine like terms: -16p + 16p = 0
74 + 16p = 10 + 0
74 + 16p = 10

Add '-74' to each side of the equation.
74 + -74 + 16p = 10 + -74

Combine like terms: 74 + -74 = 0
0 + 16p = 10 + -74
16p = 10 + -74

Combine like terms: 10 + -74 = -64
16p = -64

Divide each side by '16'.
p = -4

Simplifying
p = -4

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