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Simplifying 10 + -3(t + -7) = t + 4 Reorder the terms: 10 + -3(-7 + t) = t + 4 10 + (-7 * -3 + t * -3) = t + 4 10 + (21 + -3t) = t + 4 Combine like terms: 10 + 21 = 31 31 + -3t = t + 4 Reorder the terms: 31 + -3t = 4 + t Solving 31 + -3t = 4 + 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. 31 + -3t + -1t = 4 + t + -1t Combine like terms: -3t + -1t = -4t 31 + -4t = 4 + t + -1t Combine like terms: t + -1t = 0 31 + -4t = 4 + 0 31 + -4t = 4 Add '-31' to each side of the equation. 31 + -31 + -4t = 4 + -31 Combine like terms: 31 + -31 = 0 0 + -4t = 4 + -31 -4t = 4 + -31 Combine like terms: 4 + -31 = -27 -4t = -27 Divide each side by '-4'. t = 6.75 Simplifying t = 6.75
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