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Simplifying 4(t + -1) + 2(-6t + -3) = -9(t + 3) + 3 Reorder the terms: 4(-1 + t) + 2(-6t + -3) = -9(t + 3) + 3 (-1 * 4 + t * 4) + 2(-6t + -3) = -9(t + 3) + 3 (-4 + 4t) + 2(-6t + -3) = -9(t + 3) + 3 Reorder the terms: -4 + 4t + 2(-3 + -6t) = -9(t + 3) + 3 -4 + 4t + (-3 * 2 + -6t * 2) = -9(t + 3) + 3 -4 + 4t + (-6 + -12t) = -9(t + 3) + 3 Reorder the terms: -4 + -6 + 4t + -12t = -9(t + 3) + 3 Combine like terms: -4 + -6 = -10 -10 + 4t + -12t = -9(t + 3) + 3 Combine like terms: 4t + -12t = -8t -10 + -8t = -9(t + 3) + 3 Reorder the terms: -10 + -8t = -9(3 + t) + 3 -10 + -8t = (3 * -9 + t * -9) + 3 -10 + -8t = (-27 + -9t) + 3 Reorder the terms: -10 + -8t = -27 + 3 + -9t Combine like terms: -27 + 3 = -24 -10 + -8t = -24 + -9t Solving -10 + -8t = -24 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. -10 + -8t + 9t = -24 + -9t + 9t Combine like terms: -8t + 9t = 1t -10 + 1t = -24 + -9t + 9t Combine like terms: -9t + 9t = 0 -10 + 1t = -24 + 0 -10 + 1t = -24 Add '10' to each side of the equation. -10 + 10 + 1t = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 1t = -24 + 10 1t = -24 + 10 Combine like terms: -24 + 10 = -14 1t = -14 Divide each side by '1'. t = -14 Simplifying t = -14
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