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Simplifying 8(t + -1p) + -8 = -16(p + -2) Reorder the terms: 8(-1p + t) + -8 = -16(p + -2) (-1p * 8 + t * 8) + -8 = -16(p + -2) (-8p + 8t) + -8 = -16(p + -2) Reorder the terms: -8 + -8p + 8t = -16(p + -2) Reorder the terms: -8 + -8p + 8t = -16(-2 + p) -8 + -8p + 8t = (-2 * -16 + p * -16) -8 + -8p + 8t = (32 + -16p) Solving -8 + -8p + 8t = 32 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -8 + -8p + 16p + 8t = 32 + -16p + 16p Combine like terms: -8p + 16p = 8p -8 + 8p + 8t = 32 + -16p + 16p Combine like terms: -16p + 16p = 0 -8 + 8p + 8t = 32 + 0 -8 + 8p + 8t = 32 Add '8' to each side of the equation. -8 + 8p + 8 + 8t = 32 + 8 Reorder the terms: -8 + 8 + 8p + 8t = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8p + 8t = 32 + 8 8p + 8t = 32 + 8 Combine like terms: 32 + 8 = 40 8p + 8t = 40 Add '-8t' to each side of the equation. 8p + 8t + -8t = 40 + -8t Combine like terms: 8t + -8t = 0 8p + 0 = 40 + -8t 8p = 40 + -8t Divide each side by '8'. p = 5 + -1t Simplifying p = 5 + -1t
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