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Simplifying 3(t + -6) + 8 = 4(t + 7) Reorder the terms: 3(-6 + t) + 8 = 4(t + 7) (-6 * 3 + t * 3) + 8 = 4(t + 7) (-18 + 3t) + 8 = 4(t + 7) Reorder the terms: -18 + 8 + 3t = 4(t + 7) Combine like terms: -18 + 8 = -10 -10 + 3t = 4(t + 7) Reorder the terms: -10 + 3t = 4(7 + t) -10 + 3t = (7 * 4 + t * 4) -10 + 3t = (28 + 4t) Solving -10 + 3t = 28 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -10 + 3t + -4t = 28 + 4t + -4t Combine like terms: 3t + -4t = -1t -10 + -1t = 28 + 4t + -4t Combine like terms: 4t + -4t = 0 -10 + -1t = 28 + 0 -10 + -1t = 28 Add '10' to each side of the equation. -10 + 10 + -1t = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 28 + 10 -1t = 28 + 10 Combine like terms: 28 + 10 = 38 -1t = 38 Divide each side by '-1'. t = -38 Simplifying t = -38
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