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Simplifying -3(5t + -4) + 6t = 4t + -2 Reorder the terms: -3(-4 + 5t) + 6t = 4t + -2 (-4 * -3 + 5t * -3) + 6t = 4t + -2 (12 + -15t) + 6t = 4t + -2 Combine like terms: -15t + 6t = -9t 12 + -9t = 4t + -2 Reorder the terms: 12 + -9t = -2 + 4t Solving 12 + -9t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + -9t + -4t = -2 + 4t + -4t Combine like terms: -9t + -4t = -13t 12 + -13t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -13t = -2 + 0 12 + -13t = -2 Add '-12' to each side of the equation. 12 + -12 + -13t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -13t = -2 + -12 -13t = -2 + -12 Combine like terms: -2 + -12 = -14 -13t = -14 Divide each side by '-13'. t = 1.076923077 Simplifying t = 1.076923077
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