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Simplifying 4 + -3(2 + 12) = 2 + -2(15 + 3t) Combine like terms: 2 + 12 = 14 4 + -3(14) = 2 + -2(15 + 3t) Multiply -3 * 14 4 + -42 = 2 + -2(15 + 3t) Combine like terms: 4 + -42 = -38 -38 = 2 + -2(15 + 3t) -38 = 2 + (15 * -2 + 3t * -2) -38 = 2 + (-30 + -6t) Combine like terms: 2 + -30 = -28 -38 = -28 + -6t Solving -38 = -28 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -38 + 6t = -28 + -6t + 6t Combine like terms: -6t + 6t = 0 -38 + 6t = -28 + 0 -38 + 6t = -28 Add '38' to each side of the equation. -38 + 38 + 6t = -28 + 38 Combine like terms: -38 + 38 = 0 0 + 6t = -28 + 38 6t = -28 + 38 Combine like terms: -28 + 38 = 10 6t = 10 Divide each side by '6'. t = 1.666666667 Simplifying t = 1.666666667
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