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Simplifying -0.7(2t + -2) = 0.3(2 + -2t) Reorder the terms: -0.7(-2 + 2t) = 0.3(2 + -2t) (-2 * -0.7 + 2t * -0.7) = 0.3(2 + -2t) (1.4 + -1.4t) = 0.3(2 + -2t) 1.4 + -1.4t = (2 * 0.3 + -2t * 0.3) 1.4 + -1.4t = (0.6 + -0.6t) Solving 1.4 + -1.4t = 0.6 + -0.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6t' to each side of the equation. 1.4 + -1.4t + 0.6t = 0.6 + -0.6t + 0.6t Combine like terms: -1.4t + 0.6t = -0.8t 1.4 + -0.8t = 0.6 + -0.6t + 0.6t Combine like terms: -0.6t + 0.6t = 0.0 1.4 + -0.8t = 0.6 + 0.0 1.4 + -0.8t = 0.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.8t = 0.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.8t = 0.6 + -1.4 -0.8t = 0.6 + -1.4 Combine like terms: 0.6 + -1.4 = -0.8 -0.8t = -0.8 Divide each side by '-0.8'. t = 1 Simplifying t = 1
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