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Simplifying -2.2t + -1(0.3 + 1.5t) = 14.7 + 11.3t -2.2t + (0.3 * -1 + 1.5t * -1) = 14.7 + 11.3t -2.2t + (-0.3 + -1.5t) = 14.7 + 11.3t Reorder the terms: -0.3 + -2.2t + -1.5t = 14.7 + 11.3t Combine like terms: -2.2t + -1.5t = -3.7t -0.3 + -3.7t = 14.7 + 11.3t Solving -0.3 + -3.7t = 14.7 + 11.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11.3t' to each side of the equation. -0.3 + -3.7t + -11.3t = 14.7 + 11.3t + -11.3t Combine like terms: -3.7t + -11.3t = -15t -0.3 + -15t = 14.7 + 11.3t + -11.3t Combine like terms: 11.3t + -11.3t = 0.0 -0.3 + -15t = 14.7 + 0.0 -0.3 + -15t = 14.7 Add '0.3' to each side of the equation. -0.3 + 0.3 + -15t = 14.7 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -15t = 14.7 + 0.3 -15t = 14.7 + 0.3 Combine like terms: 14.7 + 0.3 = 15 -15t = 15 Divide each side by '-15'. t = -1 Simplifying t = -1
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