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Simplifying 6(-6p + -12) = 16p + -8(7p + -3) Reorder the terms: 6(-12 + -6p) = 16p + -8(7p + -3) (-12 * 6 + -6p * 6) = 16p + -8(7p + -3) (-72 + -36p) = 16p + -8(7p + -3) Reorder the terms: -72 + -36p = 16p + -8(-3 + 7p) -72 + -36p = 16p + (-3 * -8 + 7p * -8) -72 + -36p = 16p + (24 + -56p) Reorder the terms: -72 + -36p = 24 + 16p + -56p Combine like terms: 16p + -56p = -40p -72 + -36p = 24 + -40p Solving -72 + -36p = 24 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -72 + -36p + 40p = 24 + -40p + 40p Combine like terms: -36p + 40p = 4p -72 + 4p = 24 + -40p + 40p Combine like terms: -40p + 40p = 0 -72 + 4p = 24 + 0 -72 + 4p = 24 Add '72' to each side of the equation. -72 + 72 + 4p = 24 + 72 Combine like terms: -72 + 72 = 0 0 + 4p = 24 + 72 4p = 24 + 72 Combine like terms: 24 + 72 = 96 4p = 96 Divide each side by '4'. p = 24 Simplifying p = 24
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