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Simplifying 2(4t + -6) = 25t + 7 Reorder the terms: 2(-6 + 4t) = 25t + 7 (-6 * 2 + 4t * 2) = 25t + 7 (-12 + 8t) = 25t + 7 Reorder the terms: -12 + 8t = 7 + 25t Solving -12 + 8t = 7 + 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. -12 + 8t + -25t = 7 + 25t + -25t Combine like terms: 8t + -25t = -17t -12 + -17t = 7 + 25t + -25t Combine like terms: 25t + -25t = 0 -12 + -17t = 7 + 0 -12 + -17t = 7 Add '12' to each side of the equation. -12 + 12 + -17t = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -17t = 7 + 12 -17t = 7 + 12 Combine like terms: 7 + 12 = 19 -17t = 19 Divide each side by '-17'. t = -1.117647059 Simplifying t = -1.117647059
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