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Simplifying 5t + -6 = 3(t + -4.5) Reorder the terms: -6 + 5t = 3(t + -4.5) Reorder the terms: -6 + 5t = 3(-4.5 + t) -6 + 5t = (-4.5 * 3 + t * 3) -6 + 5t = (-13.5 + 3t) Solving -6 + 5t = -13.5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -6 + 5t + -3t = -13.5 + 3t + -3t Combine like terms: 5t + -3t = 2t -6 + 2t = -13.5 + 3t + -3t Combine like terms: 3t + -3t = 0 -6 + 2t = -13.5 + 0 -6 + 2t = -13.5 Add '6' to each side of the equation. -6 + 6 + 2t = -13.5 + 6 Combine like terms: -6 + 6 = 0 0 + 2t = -13.5 + 6 2t = -13.5 + 6 Combine like terms: -13.5 + 6 = -7.5 2t = -7.5 Divide each side by '2'. t = -3.75 Simplifying t = -3.75
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