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Simplifying 2(t + -3) + -15 = 11 + -3(t + -4) Reorder the terms: 2(-3 + t) + -15 = 11 + -3(t + -4) (-3 * 2 + t * 2) + -15 = 11 + -3(t + -4) (-6 + 2t) + -15 = 11 + -3(t + -4) Reorder the terms: -6 + -15 + 2t = 11 + -3(t + -4) Combine like terms: -6 + -15 = -21 -21 + 2t = 11 + -3(t + -4) Reorder the terms: -21 + 2t = 11 + -3(-4 + t) -21 + 2t = 11 + (-4 * -3 + t * -3) -21 + 2t = 11 + (12 + -3t) Combine like terms: 11 + 12 = 23 -21 + 2t = 23 + -3t Solving -21 + 2t = 23 + -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. -21 + 2t + 3t = 23 + -3t + 3t Combine like terms: 2t + 3t = 5t -21 + 5t = 23 + -3t + 3t Combine like terms: -3t + 3t = 0 -21 + 5t = 23 + 0 -21 + 5t = 23 Add '21' to each side of the equation. -21 + 21 + 5t = 23 + 21 Combine like terms: -21 + 21 = 0 0 + 5t = 23 + 21 5t = 23 + 21 Combine like terms: 23 + 21 = 44 5t = 44 Divide each side by '5'. t = 8.8 Simplifying t = 8.8
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