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Simplifying -4(5p + 3) + -38 = 5(3p + 4) Reorder the terms: -4(3 + 5p) + -38 = 5(3p + 4) (3 * -4 + 5p * -4) + -38 = 5(3p + 4) (-12 + -20p) + -38 = 5(3p + 4) Reorder the terms: -12 + -38 + -20p = 5(3p + 4) Combine like terms: -12 + -38 = -50 -50 + -20p = 5(3p + 4) Reorder the terms: -50 + -20p = 5(4 + 3p) -50 + -20p = (4 * 5 + 3p * 5) -50 + -20p = (20 + 15p) Solving -50 + -20p = 20 + 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. -50 + -20p + -15p = 20 + 15p + -15p Combine like terms: -20p + -15p = -35p -50 + -35p = 20 + 15p + -15p Combine like terms: 15p + -15p = 0 -50 + -35p = 20 + 0 -50 + -35p = 20 Add '50' to each side of the equation. -50 + 50 + -35p = 20 + 50 Combine like terms: -50 + 50 = 0 0 + -35p = 20 + 50 -35p = 20 + 50 Combine like terms: 20 + 50 = 70 -35p = 70 Divide each side by '-35'. p = -2 Simplifying p = -2
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