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Simplifying -4(3t + -4) + 6t = 7t + -5 Reorder the terms: -4(-4 + 3t) + 6t = 7t + -5 (-4 * -4 + 3t * -4) + 6t = 7t + -5 (16 + -12t) + 6t = 7t + -5 Combine like terms: -12t + 6t = -6t 16 + -6t = 7t + -5 Reorder the terms: 16 + -6t = -5 + 7t Solving 16 + -6t = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 16 + -6t + -7t = -5 + 7t + -7t Combine like terms: -6t + -7t = -13t 16 + -13t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -13t = -5 + 0 16 + -13t = -5 Add '-16' to each side of the equation. 16 + -16 + -13t = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -13t = -5 + -16 -13t = -5 + -16 Combine like terms: -5 + -16 = -21 -13t = -21 Divide each side by '-13'. t = 1.615384615 Simplifying t = 1.615384615
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