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Simplifying 3p + -1 = 5(p + -1) + -2(7 + -2q) Reorder the terms: -1 + 3p = 5(p + -1) + -2(7 + -2q) Reorder the terms: -1 + 3p = 5(-1 + p) + -2(7 + -2q) -1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2q) -1 + 3p = (-5 + 5p) + -2(7 + -2q) -1 + 3p = -5 + 5p + (7 * -2 + -2q * -2) -1 + 3p = -5 + 5p + (-14 + 4q) Reorder the terms: -1 + 3p = -5 + -14 + 5p + 4q Combine like terms: -5 + -14 = -19 -1 + 3p = -19 + 5p + 4q Solving -1 + 3p = -19 + 5p + 4q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 3p + -5p = -19 + 5p + -5p + 4q Combine like terms: 3p + -5p = -2p -1 + -2p = -19 + 5p + -5p + 4q Combine like terms: 5p + -5p = 0 -1 + -2p = -19 + 0 + 4q -1 + -2p = -19 + 4q Add '1' to each side of the equation. -1 + 1 + -2p = -19 + 1 + 4q Combine like terms: -1 + 1 = 0 0 + -2p = -19 + 1 + 4q -2p = -19 + 1 + 4q Combine like terms: -19 + 1 = -18 -2p = -18 + 4q Divide each side by '-2'. p = 9 + -2q Simplifying p = 9 + -2q
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