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Simplifying 36(t + -2) + -48(t + -1) = 12 Reorder the terms: 36(-2 + t) + -48(t + -1) = 12 (-2 * 36 + t * 36) + -48(t + -1) = 12 (-72 + 36t) + -48(t + -1) = 12 Reorder the terms: -72 + 36t + -48(-1 + t) = 12 -72 + 36t + (-1 * -48 + t * -48) = 12 -72 + 36t + (48 + -48t) = 12 Reorder the terms: -72 + 48 + 36t + -48t = 12 Combine like terms: -72 + 48 = -24 -24 + 36t + -48t = 12 Combine like terms: 36t + -48t = -12t -24 + -12t = 12 Solving -24 + -12t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -12t = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -12t = 12 + 24 -12t = 12 + 24 Combine like terms: 12 + 24 = 36 -12t = 36 Divide each side by '-12'. t = -3 Simplifying t = -3
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