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Simplifying -7.5 = t(0.8) + 0.5(9.8)(0.8 * 0.8) Reorder the terms for easier multiplication: -7.5 = 0.8t + 0.5(9.8)(0.8 * 0.8) Multiply 0.8 * 0.8 -7.5 = 0.8t + 0.5 * 9.8(0.64) Multiply 0.5 * 9.8 -7.5 = 0.8t + 4.9 * 0.64 Multiply 4.9 * 0.64 -7.5 = 0.8t + 3.136 Reorder the terms: -7.5 = 3.136 + 0.8t Solving -7.5 = 3.136 + 0.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8t' to each side of the equation. -7.5 + -0.8t = 3.136 + 0.8t + -0.8t Combine like terms: 0.8t + -0.8t = 0.0 -7.5 + -0.8t = 3.136 + 0.0 -7.5 + -0.8t = 3.136 Add '7.5' to each side of the equation. -7.5 + 7.5 + -0.8t = 3.136 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -0.8t = 3.136 + 7.5 -0.8t = 3.136 + 7.5 Combine like terms: 3.136 + 7.5 = 10.636 -0.8t = 10.636 Divide each side by '-0.8'. t = -13.295 Simplifying t = -13.295
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