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Simplifying -3(5t + 3) + 3(t + -4) = 0 Reorder the terms: -3(3 + 5t) + 3(t + -4) = 0 (3 * -3 + 5t * -3) + 3(t + -4) = 0 (-9 + -15t) + 3(t + -4) = 0 Reorder the terms: -9 + -15t + 3(-4 + t) = 0 -9 + -15t + (-4 * 3 + t * 3) = 0 -9 + -15t + (-12 + 3t) = 0 Reorder the terms: -9 + -12 + -15t + 3t = 0 Combine like terms: -9 + -12 = -21 -21 + -15t + 3t = 0 Combine like terms: -15t + 3t = -12t -21 + -12t = 0 Solving -21 + -12t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -12t = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -12t = 0 + 21 -12t = 0 + 21 Combine like terms: 0 + 21 = 21 -12t = 21 Divide each side by '-12'. t = -1.75 Simplifying t = -1.75
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