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Simplifying 6p + -2(6 + -2p) = 5(p + -4) + -42 6p + (6 * -2 + -2p * -2) = 5(p + -4) + -42 6p + (-12 + 4p) = 5(p + -4) + -42 Reorder the terms: -12 + 6p + 4p = 5(p + -4) + -42 Combine like terms: 6p + 4p = 10p -12 + 10p = 5(p + -4) + -42 Reorder the terms: -12 + 10p = 5(-4 + p) + -42 -12 + 10p = (-4 * 5 + p * 5) + -42 -12 + 10p = (-20 + 5p) + -42 Reorder the terms: -12 + 10p = -20 + -42 + 5p Combine like terms: -20 + -42 = -62 -12 + 10p = -62 + 5p Solving -12 + 10p = -62 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 10p + -5p = -62 + 5p + -5p Combine like terms: 10p + -5p = 5p -12 + 5p = -62 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 5p = -62 + 0 -12 + 5p = -62 Add '12' to each side of the equation. -12 + 12 + 5p = -62 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -62 + 12 5p = -62 + 12 Combine like terms: -62 + 12 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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