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Simplifying -3(4t + -4) + 5t = 6t + -6 Reorder the terms: -3(-4 + 4t) + 5t = 6t + -6 (-4 * -3 + 4t * -3) + 5t = 6t + -6 (12 + -12t) + 5t = 6t + -6 Combine like terms: -12t + 5t = -7t 12 + -7t = 6t + -6 Reorder the terms: 12 + -7t = -6 + 6t Solving 12 + -7t = -6 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 12 + -7t + -6t = -6 + 6t + -6t Combine like terms: -7t + -6t = -13t 12 + -13t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -13t = -6 + 0 12 + -13t = -6 Add '-12' to each side of the equation. 12 + -12 + -13t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -13t = -6 + -12 -13t = -6 + -12 Combine like terms: -6 + -12 = -18 -13t = -18 Divide each side by '-13'. t = 1.384615385 Simplifying t = 1.384615385
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