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Simplifying 4(t + -3) + -3(t + 4) = -21 Reorder the terms: 4(-3 + t) + -3(t + 4) = -21 (-3 * 4 + t * 4) + -3(t + 4) = -21 (-12 + 4t) + -3(t + 4) = -21 Reorder the terms: -12 + 4t + -3(4 + t) = -21 -12 + 4t + (4 * -3 + t * -3) = -21 -12 + 4t + (-12 + -3t) = -21 Reorder the terms: -12 + -12 + 4t + -3t = -21 Combine like terms: -12 + -12 = -24 -24 + 4t + -3t = -21 Combine like terms: 4t + -3t = 1t -24 + 1t = -21 Solving -24 + 1t = -21 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1t = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 1t = -21 + 24 1t = -21 + 24 Combine like terms: -21 + 24 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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