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Simplifying 5(3 + -2p) + -6p = 6p + -95 (3 * 5 + -2p * 5) + -6p = 6p + -95 (15 + -10p) + -6p = 6p + -95 Combine like terms: -10p + -6p = -16p 15 + -16p = 6p + -95 Reorder the terms: 15 + -16p = -95 + 6p Solving 15 + -16p = -95 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 15 + -16p + -6p = -95 + 6p + -6p Combine like terms: -16p + -6p = -22p 15 + -22p = -95 + 6p + -6p Combine like terms: 6p + -6p = 0 15 + -22p = -95 + 0 15 + -22p = -95 Add '-15' to each side of the equation. 15 + -15 + -22p = -95 + -15 Combine like terms: 15 + -15 = 0 0 + -22p = -95 + -15 -22p = -95 + -15 Combine like terms: -95 + -15 = -110 -22p = -110 Divide each side by '-22'. p = 5 Simplifying p = 5
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