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Simplifying 5(2p + -6) = -4(p + -3) Reorder the terms: 5(-6 + 2p) = -4(p + -3) (-6 * 5 + 2p * 5) = -4(p + -3) (-30 + 10p) = -4(p + -3) Reorder the terms: -30 + 10p = -4(-3 + p) -30 + 10p = (-3 * -4 + p * -4) -30 + 10p = (12 + -4p) Solving -30 + 10p = 12 + -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. -30 + 10p + 4p = 12 + -4p + 4p Combine like terms: 10p + 4p = 14p -30 + 14p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -30 + 14p = 12 + 0 -30 + 14p = 12 Add '30' to each side of the equation. -30 + 30 + 14p = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 14p = 12 + 30 14p = 12 + 30 Combine like terms: 12 + 30 = 42 14p = 42 Divide each side by '14'. p = 3 Simplifying p = 3
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