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Simplifying 8(t + -2) + -3(t + -4) = (t + -7) + 8 Reorder the terms: 8(-2 + t) + -3(t + -4) = (t + -7) + 8 (-2 * 8 + t * 8) + -3(t + -4) = (t + -7) + 8 (-16 + 8t) + -3(t + -4) = (t + -7) + 8 Reorder the terms: -16 + 8t + -3(-4 + t) = (t + -7) + 8 -16 + 8t + (-4 * -3 + t * -3) = (t + -7) + 8 -16 + 8t + (12 + -3t) = (t + -7) + 8 Reorder the terms: -16 + 12 + 8t + -3t = (t + -7) + 8 Combine like terms: -16 + 12 = -4 -4 + 8t + -3t = (t + -7) + 8 Combine like terms: 8t + -3t = 5t -4 + 5t = (t + -7) + 8 Reorder the terms: -4 + 5t = (-7 + t) + 8 Remove parenthesis around (-7 + t) -4 + 5t = -7 + t + 8 Reorder the terms: -4 + 5t = -7 + 8 + t Combine like terms: -7 + 8 = 1 -4 + 5t = 1 + t Solving -4 + 5t = 1 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -4 + 5t + -1t = 1 + t + -1t Combine like terms: 5t + -1t = 4t -4 + 4t = 1 + t + -1t Combine like terms: t + -1t = 0 -4 + 4t = 1 + 0 -4 + 4t = 1 Add '4' to each side of the equation. -4 + 4 + 4t = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = 1 + 4 4t = 1 + 4 Combine like terms: 1 + 4 = 5 4t = 5 Divide each side by '4'. t = 1.25 Simplifying t = 1.25
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