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Simplifying -5(2p + 4) + -18 = 3(5p + 4) Reorder the terms: -5(4 + 2p) + -18 = 3(5p + 4) (4 * -5 + 2p * -5) + -18 = 3(5p + 4) (-20 + -10p) + -18 = 3(5p + 4) Reorder the terms: -20 + -18 + -10p = 3(5p + 4) Combine like terms: -20 + -18 = -38 -38 + -10p = 3(5p + 4) Reorder the terms: -38 + -10p = 3(4 + 5p) -38 + -10p = (4 * 3 + 5p * 3) -38 + -10p = (12 + 15p) Solving -38 + -10p = 12 + 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. -38 + -10p + -15p = 12 + 15p + -15p Combine like terms: -10p + -15p = -25p -38 + -25p = 12 + 15p + -15p Combine like terms: 15p + -15p = 0 -38 + -25p = 12 + 0 -38 + -25p = 12 Add '38' to each side of the equation. -38 + 38 + -25p = 12 + 38 Combine like terms: -38 + 38 = 0 0 + -25p = 12 + 38 -25p = 12 + 38 Combine like terms: 12 + 38 = 50 -25p = 50 Divide each side by '-25'. p = -2 Simplifying p = -2
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