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Simplifying 5t + -7(t + -1.2) + -9.5 = 3t + -7.65 Reorder the terms: 5t + -7(-1.2 + t) + -9.5 = 3t + -7.65 5t + (-1.2 * -7 + t * -7) + -9.5 = 3t + -7.65 5t + (8.4 + -7t) + -9.5 = 3t + -7.65 Reorder the terms: 8.4 + -9.5 + 5t + -7t = 3t + -7.65 Combine like terms: 8.4 + -9.5 = -1.1 -1.1 + 5t + -7t = 3t + -7.65 Combine like terms: 5t + -7t = -2t -1.1 + -2t = 3t + -7.65 Reorder the terms: -1.1 + -2t = -7.65 + 3t Solving -1.1 + -2t = -7.65 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -1.1 + -2t + -3t = -7.65 + 3t + -3t Combine like terms: -2t + -3t = -5t -1.1 + -5t = -7.65 + 3t + -3t Combine like terms: 3t + -3t = 0 -1.1 + -5t = -7.65 + 0 -1.1 + -5t = -7.65 Add '1.1' to each side of the equation. -1.1 + 1.1 + -5t = -7.65 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -5t = -7.65 + 1.1 -5t = -7.65 + 1.1 Combine like terms: -7.65 + 1.1 = -6.55 -5t = -6.55 Divide each side by '-5'. t = 1.31 Simplifying t = 1.31
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