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Simplifying -4(5p + 3) + -43 = 5(3p + 3) Reorder the terms: -4(3 + 5p) + -43 = 5(3p + 3) (3 * -4 + 5p * -4) + -43 = 5(3p + 3) (-12 + -20p) + -43 = 5(3p + 3) Reorder the terms: -12 + -43 + -20p = 5(3p + 3) Combine like terms: -12 + -43 = -55 -55 + -20p = 5(3p + 3) Reorder the terms: -55 + -20p = 5(3 + 3p) -55 + -20p = (3 * 5 + 3p * 5) -55 + -20p = (15 + 15p) Solving -55 + -20p = 15 + 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. -55 + -20p + -15p = 15 + 15p + -15p Combine like terms: -20p + -15p = -35p -55 + -35p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -55 + -35p = 15 + 0 -55 + -35p = 15 Add '55' to each side of the equation. -55 + 55 + -35p = 15 + 55 Combine like terms: -55 + 55 = 0 0 + -35p = 15 + 55 -35p = 15 + 55 Combine like terms: 15 + 55 = 70 -35p = 70 Divide each side by '-35'. p = -2 Simplifying p = -2
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