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Simplifying 14 = 0.5(4t + -12) + -8(0.5 + -0.25) Reorder the terms: 14 = 0.5(-12 + 4t) + -8(0.5 + -0.25) 14 = (-12 * 0.5 + 4t * 0.5) + -8(0.5 + -0.25) 14 = (-6 + 2t) + -8(0.5 + -0.25) Combine like terms: 0.5 + -0.25 = 0.25 14 = -6 + 2t + -8(0.25) Multiply -8 * 0.25 14 = -6 + 2t + -2 Reorder the terms: 14 = -6 + -2 + 2t Combine like terms: -6 + -2 = -8 14 = -8 + 2t Solving 14 = -8 + 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. 14 + -2t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 14 + -2t = -8 + 0 14 + -2t = -8 Add '-14' to each side of the equation. 14 + -14 + -2t = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = -8 + -14 -2t = -8 + -14 Combine like terms: -8 + -14 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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