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Simplifying 8p + -5(p + 3) = 7(p + -1) * 3 Reorder the terms: 8p + -5(3 + p) = 7(p + -1) * 3 8p + (3 * -5 + p * -5) = 7(p + -1) * 3 8p + (-15 + -5p) = 7(p + -1) * 3 Reorder the terms: -15 + 8p + -5p = 7(p + -1) * 3 Combine like terms: 8p + -5p = 3p -15 + 3p = 7(p + -1) * 3 Reorder the terms: -15 + 3p = 7(-1 + p) * 3 Reorder the terms for easier multiplication: -15 + 3p = 7 * 3(-1 + p) Multiply 7 * 3 -15 + 3p = 21(-1 + p) -15 + 3p = (-1 * 21 + p * 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 = -6 -18p = -6 Divide each side by '-18'. p = 0.3333333333 Simplifying p = 0.3333333333
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