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Simplifying 5 + -3(t + 3) = -1 + 2(t + -3) Reorder the terms: 5 + -3(3 + t) = -1 + 2(t + -3) 5 + (3 * -3 + t * -3) = -1 + 2(t + -3) 5 + (-9 + -3t) = -1 + 2(t + -3) Combine like terms: 5 + -9 = -4 -4 + -3t = -1 + 2(t + -3) Reorder the terms: -4 + -3t = -1 + 2(-3 + t) -4 + -3t = -1 + (-3 * 2 + t * 2) -4 + -3t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 -4 + -3t = -7 + 2t Solving -4 + -3t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -4 + -3t + -2t = -7 + 2t + -2t Combine like terms: -3t + -2t = -5t -4 + -5t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + -5t = -7 + 0 -4 + -5t = -7 Add '4' to each side of the equation. -4 + 4 + -5t = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = -7 + 4 -5t = -7 + 4 Combine like terms: -7 + 4 = -3 -5t = -3 Divide each side by '-5'. t = 0.6 Simplifying t = 0.6
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