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Simplifying 6 = -4t + 5(-1.5) Multiply 5 * -1.5 6 = -4t + -7.5 Reorder the terms: 6 = -7.5 + -4t Solving 6 = -7.5 + -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. 6 + 4t = -7.5 + -4t + 4t Combine like terms: -4t + 4t = 0 6 + 4t = -7.5 + 0 6 + 4t = -7.5 Add '-6' to each side of the equation. 6 + -6 + 4t = -7.5 + -6 Combine like terms: 6 + -6 = 0 0 + 4t = -7.5 + -6 4t = -7.5 + -6 Combine like terms: -7.5 + -6 = -13.5 4t = -13.5 Divide each side by '4'. t = -3.375 Simplifying t = -3.375
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