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Simplifying 8p + -5(1p + 3) = 7(1p + 1) * 3 Reorder the terms: 8p + -5(3 + 1p) = 7(1p + 1) * 3 8p + (3 * -5 + 1p * -5) = 7(1p + 1) * 3 8p + (-15 + -5p) = 7(1p + 1) * 3 Reorder the terms: -15 + 8p + -5p = 7(1p + 1) * 3 Combine like terms: 8p + -5p = 3p -15 + 3p = 7(1p + 1) * 3 Reorder the terms: -15 + 3p = 7(1 + 1p) * 3 Reorder the terms for easier multiplication: -15 + 3p = 7 * 3(1 + 1p) Multiply 7 * 3 -15 + 3p = 21(1 + 1p) -15 + 3p = (1 * 21 + 1p * 21) -15 + 3p = (21 + 21p) Solving -15 + 3p = 21 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -15 + 3p + -21p = 21 + 21p + -21p Combine like terms: 3p + -21p = -18p -15 + -18p = 21 + 21p + -21p Combine like terms: 21p + -21p = 0 -15 + -18p = 21 + 0 -15 + -18p = 21 Add '15' to each side of the equation. -15 + 15 + -18p = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -18p = 21 + 15 -18p = 21 + 15 Combine like terms: 21 + 15 = 36 -18p = 36 Divide each side by '-18'. p = -2 Simplifying p = -2
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