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Simplifying -4(t + 2) + -1t + -5 = -1(t + 4) + 7 Reorder the terms: -4(2 + t) + -1t + -5 = -1(t + 4) + 7 (2 * -4 + t * -4) + -1t + -5 = -1(t + 4) + 7 (-8 + -4t) + -1t + -5 = -1(t + 4) + 7 Reorder the terms: -8 + -5 + -4t + -1t = -1(t + 4) + 7 Combine like terms: -8 + -5 = -13 -13 + -4t + -1t = -1(t + 4) + 7 Combine like terms: -4t + -1t = -5t -13 + -5t = -1(t + 4) + 7 Reorder the terms: -13 + -5t = -1(4 + t) + 7 -13 + -5t = (4 * -1 + t * -1) + 7 -13 + -5t = (-4 + -1t) + 7 Reorder the terms: -13 + -5t = -4 + 7 + -1t Combine like terms: -4 + 7 = 3 -13 + -5t = 3 + -1t Solving -13 + -5t = 3 + -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. -13 + -5t + t = 3 + -1t + t Combine like terms: -5t + t = -4t -13 + -4t = 3 + -1t + t Combine like terms: -1t + t = 0 -13 + -4t = 3 + 0 -13 + -4t = 3 Add '13' to each side of the equation. -13 + 13 + -4t = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -4t = 3 + 13 -4t = 3 + 13 Combine like terms: 3 + 13 = 16 -4t = 16 Divide each side by '-4'. t = -4 Simplifying t = -4
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