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Simplifying -6p + 7 = 3(p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 3(p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 3(-3 + p) + -4(-10 + 4p) 7 + -6p = (-3 * 3 + p * 3) + -4(-10 + 4p) 7 + -6p = (-9 + 3p) + -4(-10 + 4p) 7 + -6p = -9 + 3p + (-10 * -4 + 4p * -4) 7 + -6p = -9 + 3p + (40 + -16p) Reorder the terms: 7 + -6p = -9 + 40 + 3p + -16p Combine like terms: -9 + 40 = 31 7 + -6p = 31 + 3p + -16p Combine like terms: 3p + -16p = -13p 7 + -6p = 31 + -13p Solving 7 + -6p = 31 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. 7 + -6p + 13p = 31 + -13p + 13p Combine like terms: -6p + 13p = 7p 7 + 7p = 31 + -13p + 13p Combine like terms: -13p + 13p = 0 7 + 7p = 31 + 0 7 + 7p = 31 Add '-7' to each side of the equation. 7 + -7 + 7p = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = 31 + -7 7p = 31 + -7 Combine like terms: 31 + -7 = 24 7p = 24 Divide each side by '7'. p = 3.428571429 Simplifying p = 3.428571429
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