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Simplifying 4 + 8(t + -10) = -128 + -1(8 + -2t) Reorder the terms: 4 + 8(-10 + t) = -128 + -1(8 + -2t) 4 + (-10 * 8 + t * 8) = -128 + -1(8 + -2t) 4 + (-80 + 8t) = -128 + -1(8 + -2t) Combine like terms: 4 + -80 = -76 -76 + 8t = -128 + -1(8 + -2t) -76 + 8t = -128 + (8 * -1 + -2t * -1) -76 + 8t = -128 + (-8 + 2t) Combine like terms: -128 + -8 = -136 -76 + 8t = -136 + 2t Solving -76 + 8t = -136 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -76 + 8t + -2t = -136 + 2t + -2t Combine like terms: 8t + -2t = 6t -76 + 6t = -136 + 2t + -2t Combine like terms: 2t + -2t = 0 -76 + 6t = -136 + 0 -76 + 6t = -136 Add '76' to each side of the equation. -76 + 76 + 6t = -136 + 76 Combine like terms: -76 + 76 = 0 0 + 6t = -136 + 76 6t = -136 + 76 Combine like terms: -136 + 76 = -60 6t = -60 Divide each side by '6'. t = -10 Simplifying t = -10
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