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Simplifying 1.5t + 7 = 4t + -3 Reorder the terms: 7 + 1.5t = 4t + -3 Reorder the terms: 7 + 1.5t = -3 + 4t Solving 7 + 1.5t = -3 + 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. 7 + 1.5t + -4t = -3 + 4t + -4t Combine like terms: 1.5t + -4t = -2.5t 7 + -2.5t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + -2.5t = -3 + 0 7 + -2.5t = -3 Add '-7' to each side of the equation. 7 + -7 + -2.5t = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2.5t = -3 + -7 -2.5t = -3 + -7 Combine like terms: -3 + -7 = -10 -2.5t = -10 Divide each side by '-2.5'. t = 4 Simplifying t = 4
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