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Simplifying 6(p + -5) = -4(p + -3) Reorder the terms: 6(-5 + p) = -4(p + -3) (-5 * 6 + p * 6) = -4(p + -3) (-30 + 6p) = -4(p + -3) Reorder the terms: -30 + 6p = -4(-3 + p) -30 + 6p = (-3 * -4 + p * -4) -30 + 6p = (12 + -4p) Solving -30 + 6p = 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 + 6p + 4p = 12 + -4p + 4p Combine like terms: 6p + 4p = 10p -30 + 10p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -30 + 10p = 12 + 0 -30 + 10p = 12 Add '30' to each side of the equation. -30 + 30 + 10p = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 10p = 12 + 30 10p = 12 + 30 Combine like terms: 12 + 30 = 42 10p = 42 Divide each side by '10'. p = 4.2 Simplifying p = 4.2
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