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Simplifying 8(p + -6) = (4p + 6) + -12 Reorder the terms: 8(-6 + p) = (4p + 6) + -12 (-6 * 8 + p * 8) = (4p + 6) + -12 (-48 + 8p) = (4p + 6) + -12 Reorder the terms: -48 + 8p = (6 + 4p) + -12 Remove parenthesis around (6 + 4p) -48 + 8p = 6 + 4p + -12 Reorder the terms: -48 + 8p = 6 + -12 + 4p Combine like terms: 6 + -12 = -6 -48 + 8p = -6 + 4p Solving -48 + 8p = -6 + 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. -48 + 8p + -4p = -6 + 4p + -4p Combine like terms: 8p + -4p = 4p -48 + 4p = -6 + 4p + -4p Combine like terms: 4p + -4p = 0 -48 + 4p = -6 + 0 -48 + 4p = -6 Add '48' to each side of the equation. -48 + 48 + 4p = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 4p = -6 + 48 4p = -6 + 48 Combine like terms: -6 + 48 = 42 4p = 42 Divide each side by '4'. p = 10.5 Simplifying p = 10.5
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