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Simplifying -5(4p + 3) + -46 = 3(5p + 3) Reorder the terms: -5(3 + 4p) + -46 = 3(5p + 3) (3 * -5 + 4p * -5) + -46 = 3(5p + 3) (-15 + -20p) + -46 = 3(5p + 3) Reorder the terms: -15 + -46 + -20p = 3(5p + 3) Combine like terms: -15 + -46 = -61 -61 + -20p = 3(5p + 3) Reorder the terms: -61 + -20p = 3(3 + 5p) -61 + -20p = (3 * 3 + 5p * 3) -61 + -20p = (9 + 15p) Solving -61 + -20p = 9 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -61 + -20p + -15p = 9 + 15p + -15p Combine like terms: -20p + -15p = -35p -61 + -35p = 9 + 15p + -15p Combine like terms: 15p + -15p = 0 -61 + -35p = 9 + 0 -61 + -35p = 9 Add '61' to each side of the equation. -61 + 61 + -35p = 9 + 61 Combine like terms: -61 + 61 = 0 0 + -35p = 9 + 61 -35p = 9 + 61 Combine like terms: 9 + 61 = 70 -35p = 70 Divide each side by '-35'. p = -2 Simplifying p = -2
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