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Simplifying 45 = 12 + 3(t + -8) + -6 Reorder the terms: 45 = 12 + 3(-8 + t) + -6 45 = 12 + (-8 * 3 + t * 3) + -6 45 = 12 + (-24 + 3t) + -6 Reorder the terms: 45 = 12 + -24 + -6 + 3t Combine like terms: 12 + -24 = -12 45 = -12 + -6 + 3t Combine like terms: -12 + -6 = -18 45 = -18 + 3t Solving 45 = -18 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 45 + -3t = -18 + 3t + -3t Combine like terms: 3t + -3t = 0 45 + -3t = -18 + 0 45 + -3t = -18 Add '-45' to each side of the equation. 45 + -45 + -3t = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -3t = -18 + -45 -3t = -18 + -45 Combine like terms: -18 + -45 = -63 -3t = -63 Divide each side by '-3'. t = 21 Simplifying t = 21
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