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Simplifying 6(t + 4) = 10(t + -4) Reorder the terms: 6(4 + t) = 10(t + -4) (4 * 6 + t * 6) = 10(t + -4) (24 + 6t) = 10(t + -4) Reorder the terms: 24 + 6t = 10(-4 + t) 24 + 6t = (-4 * 10 + t * 10) 24 + 6t = (-40 + 10t) Solving 24 + 6t = -40 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 24 + 6t + -10t = -40 + 10t + -10t Combine like terms: 6t + -10t = -4t 24 + -4t = -40 + 10t + -10t Combine like terms: 10t + -10t = 0 24 + -4t = -40 + 0 24 + -4t = -40 Add '-24' to each side of the equation. 24 + -24 + -4t = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -4t = -40 + -24 -4t = -40 + -24 Combine like terms: -40 + -24 = -64 -4t = -64 Divide each side by '-4'. t = 16 Simplifying t = 16
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