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Simplifying -5p + -1 = 3(p + -1) + -2(7 + -2p) Reorder the terms: -1 + -5p = 3(p + -1) + -2(7 + -2p) Reorder the terms: -1 + -5p = 3(-1 + p) + -2(7 + -2p) -1 + -5p = (-1 * 3 + p * 3) + -2(7 + -2p) -1 + -5p = (-3 + 3p) + -2(7 + -2p) -1 + -5p = -3 + 3p + (7 * -2 + -2p * -2) -1 + -5p = -3 + 3p + (-14 + 4p) Reorder the terms: -1 + -5p = -3 + -14 + 3p + 4p Combine like terms: -3 + -14 = -17 -1 + -5p = -17 + 3p + 4p Combine like terms: 3p + 4p = 7p -1 + -5p = -17 + 7p Solving -1 + -5p = -17 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -1 + -5p + -7p = -17 + 7p + -7p Combine like terms: -5p + -7p = -12p -1 + -12p = -17 + 7p + -7p Combine like terms: 7p + -7p = 0 -1 + -12p = -17 + 0 -1 + -12p = -17 Add '1' to each side of the equation. -1 + 1 + -12p = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -12p = -17 + 1 -12p = -17 + 1 Combine like terms: -17 + 1 = -16 -12p = -16 Divide each side by '-12'. p = 1.333333333 Simplifying p = 1.333333333
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