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Simplifying -4(1 + p) + 3p + -10 = 5p + -2(3 + -1p) (1 * -4 + p * -4) + 3p + -10 = 5p + -2(3 + -1p) (-4 + -4p) + 3p + -10 = 5p + -2(3 + -1p) Reorder the terms: -4 + -10 + -4p + 3p = 5p + -2(3 + -1p) Combine like terms: -4 + -10 = -14 -14 + -4p + 3p = 5p + -2(3 + -1p) Combine like terms: -4p + 3p = -1p -14 + -1p = 5p + -2(3 + -1p) -14 + -1p = 5p + (3 * -2 + -1p * -2) -14 + -1p = 5p + (-6 + 2p) Reorder the terms: -14 + -1p = -6 + 5p + 2p Combine like terms: 5p + 2p = 7p -14 + -1p = -6 + 7p Solving -14 + -1p = -6 + 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. -14 + -1p + -7p = -6 + 7p + -7p Combine like terms: -1p + -7p = -8p -14 + -8p = -6 + 7p + -7p Combine like terms: 7p + -7p = 0 -14 + -8p = -6 + 0 -14 + -8p = -6 Add '14' to each side of the equation. -14 + 14 + -8p = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -8p = -6 + 14 -8p = -6 + 14 Combine like terms: -6 + 14 = 8 -8p = 8 Divide each side by '-8'. p = -1 Simplifying p = -1
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