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Simplifying 6(5t + -2) = -31(7 + -1t) Reorder the terms: 6(-2 + 5t) = -31(7 + -1t) (-2 * 6 + 5t * 6) = -31(7 + -1t) (-12 + 30t) = -31(7 + -1t) -12 + 30t = (7 * -31 + -1t * -31) -12 + 30t = (-217 + 31t) Solving -12 + 30t = -217 + 31t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31t' to each side of the equation. -12 + 30t + -31t = -217 + 31t + -31t Combine like terms: 30t + -31t = -1t -12 + -1t = -217 + 31t + -31t Combine like terms: 31t + -31t = 0 -12 + -1t = -217 + 0 -12 + -1t = -217 Add '12' to each side of the equation. -12 + 12 + -1t = -217 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = -217 + 12 -1t = -217 + 12 Combine like terms: -217 + 12 = -205 -1t = -205 Divide each side by '-1'. t = 205 Simplifying t = 205
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