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Simplifying -6p + 7 = 3(2p + -3) + -4(-10 + 4) Reorder the terms: 7 + -6p = 3(2p + -3) + -4(-10 + 4) Reorder the terms: 7 + -6p = 3(-3 + 2p) + -4(-10 + 4) 7 + -6p = (-3 * 3 + 2p * 3) + -4(-10 + 4) 7 + -6p = (-9 + 6p) + -4(-10 + 4) Combine like terms: -10 + 4 = -6 7 + -6p = -9 + 6p + -4(-6) Multiply -4 * -6 7 + -6p = -9 + 6p + 24 Reorder the terms: 7 + -6p = -9 + 24 + 6p Combine like terms: -9 + 24 = 15 7 + -6p = 15 + 6p Solving 7 + -6p = 15 + 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 = 15 + 6p + -6p Combine like terms: -6p + -6p = -12p 7 + -12p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 7 + -12p = 15 + 0 7 + -12p = 15 Add '-7' to each side of the equation. 7 + -7 + -12p = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -12p = 15 + -7 -12p = 15 + -7 Combine like terms: 15 + -7 = 8 -12p = 8 Divide each side by '-12'. p = -0.6666666667 Simplifying p = -0.6666666667
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