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Simplifying -8(4 + 9t) = 7(-2 + 4t) (4 * -8 + 9t * -8) = 7(-2 + 4t) (-32 + -72t) = 7(-2 + 4t) -32 + -72t = (-2 * 7 + 4t * 7) -32 + -72t = (-14 + 28t) Solving -32 + -72t = -14 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. -32 + -72t + -28t = -14 + 28t + -28t Combine like terms: -72t + -28t = -100t -32 + -100t = -14 + 28t + -28t Combine like terms: 28t + -28t = 0 -32 + -100t = -14 + 0 -32 + -100t = -14 Add '32' to each side of the equation. -32 + 32 + -100t = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -100t = -14 + 32 -100t = -14 + 32 Combine like terms: -14 + 32 = 18 -100t = 18 Divide each side by '-100'. t = -0.18 Simplifying t = -0.18
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