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Simplifying -5 + 10 = -3t + 4(t + 7) Combine like terms: -5 + 10 = 5 5 = -3t + 4(t + 7) Reorder the terms: 5 = -3t + 4(7 + t) 5 = -3t + (7 * 4 + t * 4) 5 = -3t + (28 + 4t) Reorder the terms: 5 = 28 + -3t + 4t Combine like terms: -3t + 4t = 1t 5 = 28 + 1t Solving 5 = 28 + 1t 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. 5 + -1t = 28 + 1t + -1t Combine like terms: 1t + -1t = 0 5 + -1t = 28 + 0 5 + -1t = 28 Add '-5' to each side of the equation. 5 + -5 + -1t = 28 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 28 + -5 -1t = 28 + -5 Combine like terms: 28 + -5 = 23 -1t = 23 Divide each side by '-1'. t = -23 Simplifying t = -23
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