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Simplifying 4t + 6 = 7t + -4.5 Reorder the terms: 6 + 4t = 7t + -4.5 Reorder the terms: 6 + 4t = -4.5 + 7t Solving 6 + 4t = -4.5 + 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. 6 + 4t + -7t = -4.5 + 7t + -7t Combine like terms: 4t + -7t = -3t 6 + -3t = -4.5 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -3t = -4.5 + 0 6 + -3t = -4.5 Add '-6' to each side of the equation. 6 + -6 + -3t = -4.5 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = -4.5 + -6 -3t = -4.5 + -6 Combine like terms: -4.5 + -6 = -10.5 -3t = -10.5 Divide each side by '-3'. t = 3.5 Simplifying t = 3.5
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