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Simplifying 3p + -38 = 8(p + -1) Reorder the terms: -38 + 3p = 8(p + -1) Reorder the terms: -38 + 3p = 8(-1 + p) -38 + 3p = (-1 * 8 + p * 8) -38 + 3p = (-8 + 8p) Solving -38 + 3p = -8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -38 + 3p + -8p = -8 + 8p + -8p Combine like terms: 3p + -8p = -5p -38 + -5p = -8 + 8p + -8p Combine like terms: 8p + -8p = 0 -38 + -5p = -8 + 0 -38 + -5p = -8 Add '38' to each side of the equation. -38 + 38 + -5p = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -5p = -8 + 38 -5p = -8 + 38 Combine like terms: -8 + 38 = 30 -5p = 30 Divide each side by '-5'. p = -6 Simplifying p = -6
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