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Simplifying 10 + -2(t + -7) = t + 3 Reorder the terms: 10 + -2(-7 + t) = t + 3 10 + (-7 * -2 + t * -2) = t + 3 10 + (14 + -2t) = t + 3 Combine like terms: 10 + 14 = 24 24 + -2t = t + 3 Reorder the terms: 24 + -2t = 3 + t Solving 24 + -2t = 3 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 24 + -2t + -1t = 3 + t + -1t Combine like terms: -2t + -1t = -3t 24 + -3t = 3 + t + -1t Combine like terms: t + -1t = 0 24 + -3t = 3 + 0 24 + -3t = 3 Add '-24' to each side of the equation. 24 + -24 + -3t = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -3t = 3 + -24 -3t = 3 + -24 Combine like terms: 3 + -24 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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