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Simplifying 0.05(6 + -9) = 0.30(t + 5) + -1.95 Combine like terms: 6 + -9 = -3 0.05(-3) = 0.30(t + 5) + -1.95 Multiply 0.05 * -3 -0.15 = 0.30(t + 5) + -1.95 Reorder the terms: -0.15 = 0.30(5 + t) + -1.95 -0.15 = (5 * 0.30 + t * 0.30) + -1.95 -0.15 = (1.5 + 0.30t) + -1.95 Reorder the terms: -0.15 = 1.5 + -1.95 + 0.30t Combine like terms: 1.5 + -1.95 = -0.45 -0.15 = -0.45 + 0.30t Solving -0.15 = -0.45 + 0.30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.30t' to each side of the equation. -0.15 + -0.30t = -0.45 + 0.30t + -0.30t Combine like terms: 0.30t + -0.30t = 0.00 -0.15 + -0.30t = -0.45 + 0.00 -0.15 + -0.30t = -0.45 Add '0.15' to each side of the equation. -0.15 + 0.15 + -0.30t = -0.45 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + -0.30t = -0.45 + 0.15 -0.30t = -0.45 + 0.15 Combine like terms: -0.45 + 0.15 = -0.3 -0.30t = -0.3 Divide each side by '-0.30'. t = 1 Simplifying t = 1
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