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Simplifying 3(t + -6) + 2 = 4(t + 2) + -21 Reorder the terms: 3(-6 + t) + 2 = 4(t + 2) + -21 (-6 * 3 + t * 3) + 2 = 4(t + 2) + -21 (-18 + 3t) + 2 = 4(t + 2) + -21 Reorder the terms: -18 + 2 + 3t = 4(t + 2) + -21 Combine like terms: -18 + 2 = -16 -16 + 3t = 4(t + 2) + -21 Reorder the terms: -16 + 3t = 4(2 + t) + -21 -16 + 3t = (2 * 4 + t * 4) + -21 -16 + 3t = (8 + 4t) + -21 Reorder the terms: -16 + 3t = 8 + -21 + 4t Combine like terms: 8 + -21 = -13 -16 + 3t = -13 + 4t Solving -16 + 3t = -13 + 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. -16 + 3t + -4t = -13 + 4t + -4t Combine like terms: 3t + -4t = -1t -16 + -1t = -13 + 4t + -4t Combine like terms: 4t + -4t = 0 -16 + -1t = -13 + 0 -16 + -1t = -13 Add '16' to each side of the equation. -16 + 16 + -1t = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -1t = -13 + 16 -1t = -13 + 16 Combine like terms: -13 + 16 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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