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Simplifying -6p + 7 = 3(2p + -3) + -4(-10p + 4p) Reorder the terms: 7 + -6p = 3(2p + -3) + -4(-10p + 4p) Reorder the terms: 7 + -6p = 3(-3 + 2p) + -4(-10p + 4p) 7 + -6p = (-3 * 3 + 2p * 3) + -4(-10p + 4p) 7 + -6p = (-9 + 6p) + -4(-10p + 4p) Combine like terms: -10p + 4p = -6p 7 + -6p = -9 + 6p + -4(-6p) Remove parenthesis around (-6p) 7 + -6p = -9 + 6p + -4 * -6p Multiply -4 * -6 7 + -6p = -9 + 6p + 24p Combine like terms: 6p + 24p = 30p 7 + -6p = -9 + 30p Solving 7 + -6p = -9 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 7 + -6p + -30p = -9 + 30p + -30p Combine like terms: -6p + -30p = -36p 7 + -36p = -9 + 30p + -30p Combine like terms: 30p + -30p = 0 7 + -36p = -9 + 0 7 + -36p = -9 Add '-7' to each side of the equation. 7 + -7 + -36p = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -36p = -9 + -7 -36p = -9 + -7 Combine like terms: -9 + -7 = -16 -36p = -16 Divide each side by '-36'. p = 0.4444444444 Simplifying p = 0.4444444444
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