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Simplifying 2(4t + -6) = 15t + 8 Reorder the terms: 2(-6 + 4t) = 15t + 8 (-6 * 2 + 4t * 2) = 15t + 8 (-12 + 8t) = 15t + 8 Reorder the terms: -12 + 8t = 8 + 15t Solving -12 + 8t = 8 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -12 + 8t + -15t = 8 + 15t + -15t Combine like terms: 8t + -15t = -7t -12 + -7t = 8 + 15t + -15t Combine like terms: 15t + -15t = 0 -12 + -7t = 8 + 0 -12 + -7t = 8 Add '12' to each side of the equation. -12 + 12 + -7t = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -7t = 8 + 12 -7t = 8 + 12 Combine like terms: 8 + 12 = 20 -7t = 20 Divide each side by '-7'. t = -2.857142857 Simplifying t = -2.857142857
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