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Simplifying 4(10t + -7) = 3(6t + -2) Reorder the terms: 4(-7 + 10t) = 3(6t + -2) (-7 * 4 + 10t * 4) = 3(6t + -2) (-28 + 40t) = 3(6t + -2) Reorder the terms: -28 + 40t = 3(-2 + 6t) -28 + 40t = (-2 * 3 + 6t * 3) -28 + 40t = (-6 + 18t) Solving -28 + 40t = -6 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -28 + 40t + -18t = -6 + 18t + -18t Combine like terms: 40t + -18t = 22t -28 + 22t = -6 + 18t + -18t Combine like terms: 18t + -18t = 0 -28 + 22t = -6 + 0 -28 + 22t = -6 Add '28' to each side of the equation. -28 + 28 + 22t = -6 + 28 Combine like terms: -28 + 28 = 0 0 + 22t = -6 + 28 22t = -6 + 28 Combine like terms: -6 + 28 = 22 22t = 22 Divide each side by '22'. t = 1 Simplifying t = 1
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