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Simplifying 3p + -1 = 5(p + -1) + -4(7 + -2p) Reorder the terms: -1 + 3p = 5(p + -1) + -4(7 + -2p) Reorder the terms: -1 + 3p = 5(-1 + p) + -4(7 + -2p) -1 + 3p = (-1 * 5 + p * 5) + -4(7 + -2p) -1 + 3p = (-5 + 5p) + -4(7 + -2p) -1 + 3p = -5 + 5p + (7 * -4 + -2p * -4) -1 + 3p = -5 + 5p + (-28 + 8p) Reorder the terms: -1 + 3p = -5 + -28 + 5p + 8p Combine like terms: -5 + -28 = -33 -1 + 3p = -33 + 5p + 8p Combine like terms: 5p + 8p = 13p -1 + 3p = -33 + 13p Solving -1 + 3p = -33 + 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. -1 + 3p + -13p = -33 + 13p + -13p Combine like terms: 3p + -13p = -10p -1 + -10p = -33 + 13p + -13p Combine like terms: 13p + -13p = 0 -1 + -10p = -33 + 0 -1 + -10p = -33 Add '1' to each side of the equation. -1 + 1 + -10p = -33 + 1 Combine like terms: -1 + 1 = 0 0 + -10p = -33 + 1 -10p = -33 + 1 Combine like terms: -33 + 1 = -32 -10p = -32 Divide each side by '-10'. p = 3.2 Simplifying p = 3.2
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