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Simplifying 32(t + -7) + -1 = -5(6 + -1t) Reorder the terms: 32(-7 + t) + -1 = -5(6 + -1t) (-7 * 32 + t * 32) + -1 = -5(6 + -1t) (-224 + 32t) + -1 = -5(6 + -1t) Reorder the terms: -224 + -1 + 32t = -5(6 + -1t) Combine like terms: -224 + -1 = -225 -225 + 32t = -5(6 + -1t) -225 + 32t = (6 * -5 + -1t * -5) -225 + 32t = (-30 + 5t) Solving -225 + 32t = -30 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -225 + 32t + -5t = -30 + 5t + -5t Combine like terms: 32t + -5t = 27t -225 + 27t = -30 + 5t + -5t Combine like terms: 5t + -5t = 0 -225 + 27t = -30 + 0 -225 + 27t = -30 Add '225' to each side of the equation. -225 + 225 + 27t = -30 + 225 Combine like terms: -225 + 225 = 0 0 + 27t = -30 + 225 27t = -30 + 225 Combine like terms: -30 + 225 = 195 27t = 195 Divide each side by '27'. t = 7.222222222 Simplifying t = 7.222222222
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