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Simplifying 16 + 5(-6p + 20) = -4(5p + 16) Reorder the terms: 16 + 5(20 + -6p) = -4(5p + 16) 16 + (20 * 5 + -6p * 5) = -4(5p + 16) 16 + (100 + -30p) = -4(5p + 16) Combine like terms: 16 + 100 = 116 116 + -30p = -4(5p + 16) Reorder the terms: 116 + -30p = -4(16 + 5p) 116 + -30p = (16 * -4 + 5p * -4) 116 + -30p = (-64 + -20p) Solving 116 + -30p = -64 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 116 + -30p + 20p = -64 + -20p + 20p Combine like terms: -30p + 20p = -10p 116 + -10p = -64 + -20p + 20p Combine like terms: -20p + 20p = 0 116 + -10p = -64 + 0 116 + -10p = -64 Add '-116' to each side of the equation. 116 + -116 + -10p = -64 + -116 Combine like terms: 116 + -116 = 0 0 + -10p = -64 + -116 -10p = -64 + -116 Combine like terms: -64 + -116 = -180 -10p = -180 Divide each side by '-10'. p = 18 Simplifying p = 18
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