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Simplifying 2(t + -4) = -51 + -3(t + 4) Reorder the terms: 2(-4 + t) = -51 + -3(t + 4) (-4 * 2 + t * 2) = -51 + -3(t + 4) (-8 + 2t) = -51 + -3(t + 4) Reorder the terms: -8 + 2t = -51 + -3(4 + t) -8 + 2t = -51 + (4 * -3 + t * -3) -8 + 2t = -51 + (-12 + -3t) Combine like terms: -51 + -12 = -63 -8 + 2t = -63 + -3t Solving -8 + 2t = -63 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -8 + 2t + 3t = -63 + -3t + 3t Combine like terms: 2t + 3t = 5t -8 + 5t = -63 + -3t + 3t Combine like terms: -3t + 3t = 0 -8 + 5t = -63 + 0 -8 + 5t = -63 Add '8' to each side of the equation. -8 + 8 + 5t = -63 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = -63 + 8 5t = -63 + 8 Combine like terms: -63 + 8 = -55 5t = -55 Divide each side by '5'. t = -11 Simplifying t = -11
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