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Simplifying -0.6(24t + -27) = -8(-1t + -4) + -6 Reorder the terms: -0.6(-27 + 24t) = -8(-1t + -4) + -6 (-27 * -0.6 + 24t * -0.6) = -8(-1t + -4) + -6 (16.2 + -14.4t) = -8(-1t + -4) + -6 Reorder the terms: 16.2 + -14.4t = -8(-4 + -1t) + -6 16.2 + -14.4t = (-4 * -8 + -1t * -8) + -6 16.2 + -14.4t = (32 + 8t) + -6 Reorder the terms: 16.2 + -14.4t = 32 + -6 + 8t Combine like terms: 32 + -6 = 26 16.2 + -14.4t = 26 + 8t Solving 16.2 + -14.4t = 26 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 16.2 + -14.4t + -8t = 26 + 8t + -8t Combine like terms: -14.4t + -8t = -22.4t 16.2 + -22.4t = 26 + 8t + -8t Combine like terms: 8t + -8t = 0 16.2 + -22.4t = 26 + 0 16.2 + -22.4t = 26 Add '-16.2' to each side of the equation. 16.2 + -16.2 + -22.4t = 26 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + -22.4t = 26 + -16.2 -22.4t = 26 + -16.2 Combine like terms: 26 + -16.2 = 9.8 -22.4t = 9.8 Divide each side by '-22.4'. t = -0.4375 Simplifying t = -0.4375
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