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Simplifying -5(3p + 4) + -10 = 4(4p + 8) Reorder the terms: -5(4 + 3p) + -10 = 4(4p + 8) (4 * -5 + 3p * -5) + -10 = 4(4p + 8) (-20 + -15p) + -10 = 4(4p + 8) Reorder the terms: -20 + -10 + -15p = 4(4p + 8) Combine like terms: -20 + -10 = -30 -30 + -15p = 4(4p + 8) Reorder the terms: -30 + -15p = 4(8 + 4p) -30 + -15p = (8 * 4 + 4p * 4) -30 + -15p = (32 + 16p) Solving -30 + -15p = 32 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -30 + -15p + -16p = 32 + 16p + -16p Combine like terms: -15p + -16p = -31p -30 + -31p = 32 + 16p + -16p Combine like terms: 16p + -16p = 0 -30 + -31p = 32 + 0 -30 + -31p = 32 Add '30' to each side of the equation. -30 + 30 + -31p = 32 + 30 Combine like terms: -30 + 30 = 0 0 + -31p = 32 + 30 -31p = 32 + 30 Combine like terms: 32 + 30 = 62 -31p = 62 Divide each side by '-31'. p = -2 Simplifying p = -2
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