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Simplifying -12 + -21t + -3t = 6(8t + -6) Combine like terms: -21t + -3t = -24t -12 + -24t = 6(8t + -6) Reorder the terms: -12 + -24t = 6(-6 + 8t) -12 + -24t = (-6 * 6 + 8t * 6) -12 + -24t = (-36 + 48t) Solving -12 + -24t = -36 + 48t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48t' to each side of the equation. -12 + -24t + -48t = -36 + 48t + -48t Combine like terms: -24t + -48t = -72t -12 + -72t = -36 + 48t + -48t Combine like terms: 48t + -48t = 0 -12 + -72t = -36 + 0 -12 + -72t = -36 Add '12' to each side of the equation. -12 + 12 + -72t = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -72t = -36 + 12 -72t = -36 + 12 Combine like terms: -36 + 12 = -24 -72t = -24 Divide each side by '-72'. t = 0.3333333333 Simplifying t = 0.3333333333
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