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Simplifying -5(3p + 3) + -46 = 4(4p + 8) Reorder the terms: -5(3 + 3p) + -46 = 4(4p + 8) (3 * -5 + 3p * -5) + -46 = 4(4p + 8) (-15 + -15p) + -46 = 4(4p + 8) Reorder the terms: -15 + -46 + -15p = 4(4p + 8) Combine like terms: -15 + -46 = -61 -61 + -15p = 4(4p + 8) Reorder the terms: -61 + -15p = 4(8 + 4p) -61 + -15p = (8 * 4 + 4p * 4) -61 + -15p = (32 + 16p) Solving -61 + -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. -61 + -15p + -16p = 32 + 16p + -16p Combine like terms: -15p + -16p = -31p -61 + -31p = 32 + 16p + -16p Combine like terms: 16p + -16p = 0 -61 + -31p = 32 + 0 -61 + -31p = 32 Add '61' to each side of the equation. -61 + 61 + -31p = 32 + 61 Combine like terms: -61 + 61 = 0 0 + -31p = 32 + 61 -31p = 32 + 61 Combine like terms: 32 + 61 = 93 -31p = 93 Divide each side by '-31'. p = -3 Simplifying p = -3
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