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Simplifying 14(t + -2) + 4t = 63(t + 3) + -9 Reorder the terms: 14(-2 + t) + 4t = 63(t + 3) + -9 (-2 * 14 + t * 14) + 4t = 63(t + 3) + -9 (-28 + 14t) + 4t = 63(t + 3) + -9 Combine like terms: 14t + 4t = 18t -28 + 18t = 63(t + 3) + -9 Reorder the terms: -28 + 18t = 63(3 + t) + -9 -28 + 18t = (3 * 63 + t * 63) + -9 -28 + 18t = (189 + 63t) + -9 Reorder the terms: -28 + 18t = 189 + -9 + 63t Combine like terms: 189 + -9 = 180 -28 + 18t = 180 + 63t Solving -28 + 18t = 180 + 63t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-63t' to each side of the equation. -28 + 18t + -63t = 180 + 63t + -63t Combine like terms: 18t + -63t = -45t -28 + -45t = 180 + 63t + -63t Combine like terms: 63t + -63t = 0 -28 + -45t = 180 + 0 -28 + -45t = 180 Add '28' to each side of the equation. -28 + 28 + -45t = 180 + 28 Combine like terms: -28 + 28 = 0 0 + -45t = 180 + 28 -45t = 180 + 28 Combine like terms: 180 + 28 = 208 -45t = 208 Divide each side by '-45'. t = -4.622222222 Simplifying t = -4.622222222
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