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Simplifying 0.8 + -4(12t + 48) + -20 = -8(24t + -144) Reorder the terms: 0.8 + -4(48 + 12t) + -20 = -8(24t + -144) 0.8 + (48 * -4 + 12t * -4) + -20 = -8(24t + -144) 0.8 + (-192 + -48t) + -20 = -8(24t + -144) Reorder the terms: 0.8 + -192 + -20 + -48t = -8(24t + -144) Combine like terms: 0.8 + -192 = -191.2 -191.2 + -20 + -48t = -8(24t + -144) Combine like terms: -191.2 + -20 = -211.2 -211.2 + -48t = -8(24t + -144) Reorder the terms: -211.2 + -48t = -8(-144 + 24t) -211.2 + -48t = (-144 * -8 + 24t * -8) -211.2 + -48t = (1152 + -192t) Solving -211.2 + -48t = 1152 + -192t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '192t' to each side of the equation. -211.2 + -48t + 192t = 1152 + -192t + 192t Combine like terms: -48t + 192t = 144t -211.2 + 144t = 1152 + -192t + 192t Combine like terms: -192t + 192t = 0 -211.2 + 144t = 1152 + 0 -211.2 + 144t = 1152 Add '211.2' to each side of the equation. -211.2 + 211.2 + 144t = 1152 + 211.2 Combine like terms: -211.2 + 211.2 = 0.0 0.0 + 144t = 1152 + 211.2 144t = 1152 + 211.2 Combine like terms: 1152 + 211.2 = 1363.2 144t = 1363.2 Divide each side by '144'. t = 9.466666667 Simplifying t = 9.466666667
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