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Simplifying 4(2 + -3t) + 9 = t + -7 (2 * 4 + -3t * 4) + 9 = t + -7 (8 + -12t) + 9 = t + -7 Reorder the terms: 8 + 9 + -12t = t + -7 Combine like terms: 8 + 9 = 17 17 + -12t = t + -7 Reorder the terms: 17 + -12t = -7 + t Solving 17 + -12t = -7 + 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. 17 + -12t + -1t = -7 + t + -1t Combine like terms: -12t + -1t = -13t 17 + -13t = -7 + t + -1t Combine like terms: t + -1t = 0 17 + -13t = -7 + 0 17 + -13t = -7 Add '-17' to each side of the equation. 17 + -17 + -13t = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -13t = -7 + -17 -13t = -7 + -17 Combine like terms: -7 + -17 = -24 -13t = -24 Divide each side by '-13'. t = 1.846153846 Simplifying t = 1.846153846
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