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Simplifying -4(t + 1) + 3 = 17 + -1(t + 3) Reorder the terms: -4(1 + t) + 3 = 17 + -1(t + 3) (1 * -4 + t * -4) + 3 = 17 + -1(t + 3) (-4 + -4t) + 3 = 17 + -1(t + 3) Reorder the terms: -4 + 3 + -4t = 17 + -1(t + 3) Combine like terms: -4 + 3 = -1 -1 + -4t = 17 + -1(t + 3) Reorder the terms: -1 + -4t = 17 + -1(3 + t) -1 + -4t = 17 + (3 * -1 + t * -1) -1 + -4t = 17 + (-3 + -1t) Combine like terms: 17 + -3 = 14 -1 + -4t = 14 + -1t Solving -1 + -4t = 14 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -1 + -4t + t = 14 + -1t + t Combine like terms: -4t + t = -3t -1 + -3t = 14 + -1t + t Combine like terms: -1t + t = 0 -1 + -3t = 14 + 0 -1 + -3t = 14 Add '1' to each side of the equation. -1 + 1 + -3t = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = 14 + 1 -3t = 14 + 1 Combine like terms: 14 + 1 = 15 -3t = 15 Divide each side by '-3'. t = -5 Simplifying t = -5
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