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Simplifying 4(p + -3) = -5(6 + -2p) Reorder the terms: 4(-3 + p) = -5(6 + -2p) (-3 * 4 + p * 4) = -5(6 + -2p) (-12 + 4p) = -5(6 + -2p) -12 + 4p = (6 * -5 + -2p * -5) -12 + 4p = (-30 + 10p) Solving -12 + 4p = -30 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -12 + 4p + -10p = -30 + 10p + -10p Combine like terms: 4p + -10p = -6p -12 + -6p = -30 + 10p + -10p Combine like terms: 10p + -10p = 0 -12 + -6p = -30 + 0 -12 + -6p = -30 Add '12' to each side of the equation. -12 + 12 + -6p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -6p = -30 + 12 -6p = -30 + 12 Combine like terms: -30 + 12 = -18 -6p = -18 Divide each side by '-6'. p = 3 Simplifying p = 3
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