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Simplifying -4(t + -4) + -6t = 5t + -5 Reorder the terms: -4(-4 + t) + -6t = 5t + -5 (-4 * -4 + t * -4) + -6t = 5t + -5 (16 + -4t) + -6t = 5t + -5 Combine like terms: -4t + -6t = -10t 16 + -10t = 5t + -5 Reorder the terms: 16 + -10t = -5 + 5t Solving 16 + -10t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 16 + -10t + -5t = -5 + 5t + -5t Combine like terms: -10t + -5t = -15t 16 + -15t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -15t = -5 + 0 16 + -15t = -5 Add '-16' to each side of the equation. 16 + -16 + -15t = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -15t = -5 + -16 -15t = -5 + -16 Combine like terms: -5 + -16 = -21 -15t = -21 Divide each side by '-15'. t = 1.4 Simplifying t = 1.4
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