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Simplifying -6p + 7 = 3(2p + -3) + -4(-10 + 40) Reorder the terms: 7 + -6p = 3(2p + -3) + -4(-10 + 40) Reorder the terms: 7 + -6p = 3(-3 + 2p) + -4(-10 + 40) 7 + -6p = (-3 * 3 + 2p * 3) + -4(-10 + 40) 7 + -6p = (-9 + 6p) + -4(-10 + 40) Combine like terms: -10 + 40 = 30 7 + -6p = -9 + 6p + -4(30) Multiply -4 * 30 7 + -6p = -9 + 6p + -120 Reorder the terms: 7 + -6p = -9 + -120 + 6p Combine like terms: -9 + -120 = -129 7 + -6p = -129 + 6p Solving 7 + -6p = -129 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 7 + -6p + -6p = -129 + 6p + -6p Combine like terms: -6p + -6p = -12p 7 + -12p = -129 + 6p + -6p Combine like terms: 6p + -6p = 0 7 + -12p = -129 + 0 7 + -12p = -129 Add '-7' to each side of the equation. 7 + -7 + -12p = -129 + -7 Combine like terms: 7 + -7 = 0 0 + -12p = -129 + -7 -12p = -129 + -7 Combine like terms: -129 + -7 = -136 -12p = -136 Divide each side by '-12'. p = 11.33333333 Simplifying p = 11.33333333
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