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Simplifying (t + -4) + 3(2t + -6) = (2t + -2) Reorder the terms: (-4 + t) + 3(2t + -6) = (2t + -2) Remove parenthesis around (-4 + t) -4 + t + 3(2t + -6) = (2t + -2) Reorder the terms: -4 + t + 3(-6 + 2t) = (2t + -2) -4 + t + (-6 * 3 + 2t * 3) = (2t + -2) -4 + t + (-18 + 6t) = (2t + -2) Reorder the terms: -4 + -18 + t + 6t = (2t + -2) Combine like terms: -4 + -18 = -22 -22 + t + 6t = (2t + -2) Combine like terms: t + 6t = 7t -22 + 7t = (2t + -2) Reorder the terms: -22 + 7t = (-2 + 2t) Remove parenthesis around (-2 + 2t) -22 + 7t = -2 + 2t Solving -22 + 7t = -2 + 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. -22 + 7t + -2t = -2 + 2t + -2t Combine like terms: 7t + -2t = 5t -22 + 5t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 -22 + 5t = -2 + 0 -22 + 5t = -2 Add '22' to each side of the equation. -22 + 22 + 5t = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 5t = -2 + 22 5t = -2 + 22 Combine like terms: -2 + 22 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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