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Simplifying 7 + 7(t + -2) = 2(t + -3) + 2 Reorder the terms: 7 + 7(-2 + t) = 2(t + -3) + 2 7 + (-2 * 7 + t * 7) = 2(t + -3) + 2 7 + (-14 + 7t) = 2(t + -3) + 2 Combine like terms: 7 + -14 = -7 -7 + 7t = 2(t + -3) + 2 Reorder the terms: -7 + 7t = 2(-3 + t) + 2 -7 + 7t = (-3 * 2 + t * 2) + 2 -7 + 7t = (-6 + 2t) + 2 Reorder the terms: -7 + 7t = -6 + 2 + 2t Combine like terms: -6 + 2 = -4 -7 + 7t = -4 + 2t Solving -7 + 7t = -4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -7 + 7t + -2t = -4 + 2t + -2t Combine like terms: 7t + -2t = 5t -7 + 5t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 -7 + 5t = -4 + 0 -7 + 5t = -4 Add '7' to each side of the equation. -7 + 7 + 5t = -4 + 7 Combine like terms: -7 + 7 = 0 0 + 5t = -4 + 7 5t = -4 + 7 Combine like terms: -4 + 7 = 3 5t = 3 Divide each side by '5'. t = 0.6 Simplifying t = 0.6
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