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Simplifying 4(5t + -6) = 23t + 7 Reorder the terms: 4(-6 + 5t) = 23t + 7 (-6 * 4 + 5t * 4) = 23t + 7 (-24 + 20t) = 23t + 7 Reorder the terms: -24 + 20t = 7 + 23t Solving -24 + 20t = 7 + 23t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23t' to each side of the equation. -24 + 20t + -23t = 7 + 23t + -23t Combine like terms: 20t + -23t = -3t -24 + -3t = 7 + 23t + -23t Combine like terms: 23t + -23t = 0 -24 + -3t = 7 + 0 -24 + -3t = 7 Add '24' to each side of the equation. -24 + 24 + -3t = 7 + 24 Combine like terms: -24 + 24 = 0 0 + -3t = 7 + 24 -3t = 7 + 24 Combine like terms: 7 + 24 = 31 -3t = 31 Divide each side by '-3'. t = -10.33333333 Simplifying t = -10.33333333
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