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Simplifying -6p + 7 = 2(2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 2(2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 2(-3 + 2p) + -4(-10 + 4p) 7 + -6p = (-3 * 2 + 2p * 2) + -4(-10 + 4p) 7 + -6p = (-6 + 4p) + -4(-10 + 4p) 7 + -6p = -6 + 4p + (-10 * -4 + 4p * -4) 7 + -6p = -6 + 4p + (40 + -16p) Reorder the terms: 7 + -6p = -6 + 40 + 4p + -16p Combine like terms: -6 + 40 = 34 7 + -6p = 34 + 4p + -16p Combine like terms: 4p + -16p = -12p 7 + -6p = 34 + -12p Solving 7 + -6p = 34 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 7 + -6p + 12p = 34 + -12p + 12p Combine like terms: -6p + 12p = 6p 7 + 6p = 34 + -12p + 12p Combine like terms: -12p + 12p = 0 7 + 6p = 34 + 0 7 + 6p = 34 Add '-7' to each side of the equation. 7 + -7 + 6p = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 34 + -7 6p = 34 + -7 Combine like terms: 34 + -7 = 27 6p = 27 Divide each side by '6'. p = 4.5 Simplifying p = 4.5
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